figres cfm.docx

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Collapse Mechanism Velocity Hodograph A B V 1 V 2 V 21 V 21 V 2 V 1 β+φ α-φ α β φ δ φ δ D C q=γd P D f B 0 Fig.1 Coulomb Failure Mechanism and corresponding Velocity Hodograph Fig.2 Calculation of Coefficient of Bearing Capacity (COCOBCN’ γ )

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Page 1: figres CFM.docx

Fig.1 Coulomb Failure Mechanism and corresponding Velocity Hodograph

B0

Df

P

q=γd

C

D

δ

φδ

φ

βα α-φ

β+φ

V1

V2

V21

V21

V2V1

BA

(b) Velocity Hodograph(a) Collapse Mechanism

Fig.2 Calculation of Coefficient of Bearing Capacity (COCOBCN’γ)

Page 2: figres CFM.docx

0.1 0.2 0.30.0

0.2

0.4

0.6

Fig.3 variation of N'γE/N'γS with kh for 2c/γB0=0.25,δ=ϕ/2, kv=kh/2, Df/B0=0 (CFM)

φ=20

φ=25

φ=30

φ=35

kh

N'γ

E/N

'γS

0.1 0.2 0.30.0

0.2

0.4

0.6

Fig.4 Variation of N'γE/N'γS with kh for 2c/γB0=0.25, kv=kh/2, ϕ=40˚, Df/B0=0 (CFM)

δ=0

δ=φ/2

δ=φ

kh

N'γ

E/N

'γS

0.1 0.2 0.30.0

0.2

0.4

0.6

Fig.5 Variation of N'γE/N'γS with kh for ϕ=40 , δ=ϕ/2, ⁰2c/γB0=0.25, Df/B0=0 (CFM)

Kv=0Kv=Kh/2Kv=Kh

kh

N'γ

E/N

'γS

Page 3: figres CFM.docx

0.1 0.2 0.30.0

0.2

0.4

0.6

Fig.6 Variation of N'γE/N'γS with kh for kv=kh/2,ϕ=40 ,⁰δ=ϕ/2,2c/γB0=0.25 (CFM)

Df/B=0

Df/B=0.25

Df/B=0.5

Df/B=0.75

kh

N'γ

E/N

'γS

0.1 0.2 0.30.0

0.2

0.4

0.6

Fig.7 Variation of N'γE/N'γS with kh for kv=kh/2, ϕ=40 , ⁰δ=ϕ/2, Df/B0=0(CFM)

2c/Bγ=0

2c/Bγ=0.25

2c/Bγ=0.5

kh

N'γ

E/N

'γS

15 20 25 30 35 400

500

1000

1500

2000

2500

3000

Fig.8 Variation of quE with ϕ for kh=0.2,kv=0.1, 2c/γB0=0.25, Df/B0=0.5, δ=0

PRESENT STUDY: COULOMB MECH-ANISM

IS CODE METHOD

Richards et al.

ϕ in degrees

quE

in

KN

/m2